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Finding the Third Proportional to 13,868 and 21,471

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Solution

The third proportional to 13,868 and 21,471 is: 33,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868 : 21,471 = 21,471 : x
  2. Step 2: Convert to fraction form
    13,868/21,471 = 21,471/x
  3. Step 3: Cross multiply
    13,868x = 21,471 × 21,471
  4. Step 4: Simplify right side
    13,868x = 461,003,841
  5. Step 5: Solve for x
    x = 461,003,841/13,868
  6. Step 6: Final answer
    x = 33,242.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.